Find Mean and standard deviation of uniform distribution.
Recall that the following result was obtained in lecture: if a random variable X takes on the each of the values, 0, 1... 9 with probability 1/10 then
E[X] = 9/2 and Var[X] = 33/4.
Consider a four digit uniform random number generator; as in each of the 10,000 values 0.0000 through 9999 is equally likely. Find the mean and variance of the values produced by such a random number generator.